The expression e^x represents the exponential function with base e, where e is Euler's number (approximately 2.71828). This function is fundamental in mathematics and has numerous applications in science, engineering, and finance.
The exponential function e^x is defined as:
\[f(x) = e^x\]Where:
Let's calculate e^2:
\[e^2 = 2.71828^2 ≈ 7.3891\]This graph shows the general shape of the e^x function. It always passes through the point (0,1) and increases rapidly as x increases.
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